On the Volume Conjecture for hyperbolic Dehn-filled $3$-manifolds along the figure-eight knot
Geometric Topology
2022-02-15 v3 Mathematical Physics
math.MP
Quantum Algebra
Abstract
Using Ohtsuki's method, we prove the Asymptotic Expansion Conjecture and the Volume Conjecture of the Reshetikhin-Turaev and the Turev-Viro invariants for all hyperbolic -manifolds obtained by doing a Dehn-surgery along the figure- knot.
Keywords
Cite
@article{arxiv.2003.10053,
title = {On the Volume Conjecture for hyperbolic Dehn-filled $3$-manifolds along the figure-eight knot},
author = {Ka Ho Wong and Tian Yang},
journal= {arXiv preprint arXiv:2003.10053},
year = {2022}
}
Comments
57 pages, 6 figures